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A hole is drilled that takes up 1/4th the volume of the original volume, find the diameter to 3 decimal places.

I'm not understanding the "region" here. The first curve is a parabola whose axis in the y-axis. So the y-axis is "inside" the curve. How is the y-axis then a bound on the region? Also, the parabola opens upward, including through y = 8. The figure would be infinite!

Is there maybe a picture that goes with this? Or other information? Thank you!

I'm not understanding the "region" here. The first curve is a parabola whose axis in the y-axis. So the y-axis is "inside" the curve. How is the y-axis then a bound on the region? Also, the parabola opens upward, including through y = 8. The figure would be infinite!

Is there maybe a picture that goes with this? Or other information? Thank you!

Its a bullet shape. The Y axis is the flat side of the bullet and you stop the parabola at y=8 and rotate around that.

Its a bullet shape. The Y axis is the flat side of the bullet and you stop the parabola at y=8 and rotate around that.

"The flat side of the bullet" is the base. The parabola and the line y = 8 could approximate this, but then the y-axis would be irrelevant. Do you perhaps mean that the "bullet" shape is cut in half, from its tip to its base? So the bounds are as follows...?

"The flat side of the bullet" is the base. The parabola and the line y = 8 could approximate this, but then the y-axis would be irrelevant. Do you perhaps mean that the "bullet" shape is cut in half, from its tip to its base? So the bounds are as follows...?